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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 650 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  2. 2.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 72 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.Two trains, 70 m and 110 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  8. 8.Two trains, 180 m and 260 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  9. 9.A boat goes 44 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  12. 12.Two trains, 160 m and 140 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  13. 13.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 24 km upstream and come back?
  14. 14.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  15. 15.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 170 m and 160 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  17. 17.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  19. 19.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 84 km upstream and come back?
  20. 20.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 30 km upstream and come back?
  22. 22.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  23. 23.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  24. 24.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  25. 25.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  26. 26.Two trains, 90 m and 135 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  27. 27.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  28. 28.Two trains, 80 m and 80 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  29. 29.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  30. 30.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  32. 32.Two trains, 50 m and 265 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  33. 33.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  34. 34.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  35. 35.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  36. 36.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  37. 37.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  39. 39.Two trains, 90 m and 225 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  40. 40.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?

Answer key

  1. 24
  2. 10
  3. 6
  4. 19
  5. 13
  6. 1
  7. 6
  8. 11
  9. 19
  10. 13
  11. 105
  12. 12
  13. 3
  14. 275
  15. 24
  16. 11
  17. 9
  18. 11
  19. 16
  20. 1
  21. 8
  22. 22
  23. 750
  24. 30
  25. 17
  26. 5
  27. 21
  28. 4
  29. 36
  30. 27
  31. 450
  32. 9
  33. 300
  34. 48
  35. 17
  36. 25
  37. 1
  38. 20
  39. 9
  40. 24

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